Mean growth and geometric zero distribution of solutions of linear differential equations

The aim of this paper is to consider certain conditions on the coefficient A of the differential equation f″ + Af = 0 in the unit disc which place all normal solutions f in the union of Hardy spaces or result in the zero-sequence of each non-trivial solution being uniformly separated. The conditions on the coefficient are given in terms of Carleson measures.     

Singular Polynomials of Generalized Kasteleyn Matrices

Kasteleyn counted the number of domino tilings of a rectangle by considering a mutation of the adjacency matrix: a Kasteleyn matrix K. In this paper we present a generalization of Kasteleyn matrices and a combinatorial interpretation for the coefficients of the characteristic polynomial of KK* (which we call the singular polynomial), where K is a generalized Kasteleyn matrix for a planar bipartite graph. We also present a q-version of these ideas and a few results concerning tilings of special regions such as rectangles.     

Modelling magnetic polarisation J50 by different methods

Two different methods for modelling the angular behaviour of magnetic polarisation at 5000 A/m (J₅₀) of electrical steels were evaluated and compared. Both methods are based upon crystallographic texture data. The texture of non-oriented electrical steels with silicon content ranging from 0.11 to 3%Si was determined by X-ray diffraction. In the first method, J₅₀ was correlated to the calculated value of the average anisotropy energy in each direction, using texture data. In the second method, the first three coefficients of the spherical harmonic series of the ODF and two experimental points were used to estimate the angular variation of J₅₀. The first method allows the estimation of J₅₀ for samples with different textures and Si contents using only the texture data, with no need of magnetic measurement, and this is advantageous, because texture data can be acquired with less than 2 g of material. The second method may give better adjust in some situations but besides the texture data, it requests magnetic measurements in at least two directions, for example, rolling and transverse directions.     

Effect of deformation and annealing on the microstructure and magnetic properties of grain-oriented electrical steels

The effect of plastic deformation and subsequent annealing on the magnetic properties and microstructure of a grain-oriented (GO) electrical steel has been studied. True strain (ε) from 0.002 to 0.23 was applied by rolling in two directions, rolling (RD) and transverse (TD). The deterioration of power losses varies according to the direction of deformation. Annealing the strained material—at 800 °C/2 h—leads to a recrystallization and restored magnetic properties. The main components of annealed-textures are around 15–35° from those of deformed-textures for both RD and TD. Rolling along {1 1 0} 〈0 0 1〉 direction leads to the development of deformation twins.     

Synthesis and conjugation of a triiodohydroxylamine for the preparation of highly X‐ray opaque poly(ε‐caprolactone) materials

To address a need for highly X‐ray opaque biodegradable materials, a series of poly(ε‐caprolactone) derivatives were prepared using oxime post‐polymerization modification to conjugate two different iodinated hydroxylamines. These materials were synthesized with up to 32 wt. % iodine content and demonstrated improved X‐ray contrast relative to both the ketone precursors and previously reported monoiodinated materials. © 2016 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2017 , 55, 787–793     

Recent trends on the implementation of reticular materials in column-centered separations

Advances in the development of column-based analytical separations are strongly linked to the development of novel materials. Stationary phases for chromatographic separation are usually based on silica and polymer materials. Nevertheless, recent advances have been made using porous crystalline reticular materials, such as metal-organic frameworks and covalent organic frameworks. However, the direct packing of these materials is often limited due to their small crystal size and nonspherical shape. In this review, recent strategies to incorporate porous crystalline materials as stationary phases for liquid-phase separations are covered. Moreover, we discuss the potential future directions in their development and integration into suitable supports for analytical applications. Finally, we discuss the main challenges to be solved to take full advantage of these materials as stationary phases for analytical separations.     

Neodymium two-step optogalvanic spectroscopy in a hollow cathode lamp

This paper presents the results of Doppler-limited optogalvanic spectroscopy in commercial neodymium hollow cathode lamp, ranging from 580 to 600 nm. Using the laser multistep excitation technique, five transitions for the first step excitation from the neodymium ground state and seven transitions related to the second step of photoionization scheme were observed. Within these results, for the first time, a new line, 596.645 nm, was observed which could be attributed to a possible two-step transition to neodymium energy level from the 16 979.352 cm^? 1 to 33 735.4 cm^? 1. The simulated (synthetic) spectra of a mixture of neon (Ne I) and neodymium (Nd I) in this region are compared with experiments in order to facilitate data analysis.     

水溶液中蛋白质在聚合物表面共价及非共价吸附的控制(英文)

pacc:7320A Theadsorptionandcovalentimmobilization ofhumanimmunoglobulin(HIgG),lysozyme, α-chymotrypsin,andmyoglobinhavebeencom paredusingdifferentexperimentaltechniques:el lipsometry(ELM),X-rayphotoelectronspec troscopy(XPS),opticalfluorescenceandatom…     

Inner Functions, Bloch Spaces and Symmetric Measures

Schwarz's lemma asserts that analytic mappings from the unitdisc into itself decrease hyperbolic distances. In this paper,inner functions which decrease hyperbolic distances as muchas possible, when one approaches the unit circle, are constructed.Actually, it is shown that a quadratic condition governs thebest decay of the hyperbolic derivative of an inner function.This is related to a result of L. Carleson on the existenceof singular symmetric measures. As a consequence, some resultson composition operators are obtained, bringing out the importanceof the Bloch spaces in this connection. Another consequenceis a uniform way of producing singular measures which are simultaneouslysymmetric and Kahane. 1991 Mathematics Subject Classification:primary 30D50; secondary 30D45, 26A30, 47B38.